[1]
|
T. Belyschko, Y. Y. Lu and L. Gu, “Element-Free Galerkin methods,” International Journal for Numerical Methods, Vol. 37, No. 2, 1994, pp. 229-256.
doi:10.1201/9781420082104.ch2
|
[2]
|
S. N. Atluri and S. Shen, “The Meshless Local PetrovGalerkin (MLPG) Method,” Tech Science Press, Forsyth, 2002.
|
[3]
|
G. R. Liu, “Mesh Free Methods, Moving beyond the Finite Element Method,” CRC, Boca Raton, 2003.
|
[4]
|
S. N. Atluri, “The Meshless Method, (MLPG) for Domain & BIE Discretizations,” Tech Science Press, Forsyth, 2004.
|
[5]
|
S. N. Atluri, H. T. Liu and Z. D.Han, “Meshless Local Petrov-Galerkin (MLPG) Mixed Collocation Method For Elasticity Problems,” Tech Science Press CMES, Vol. 14, No. 3, 2006, pp. 141-152. doi:10.1152/jn.00885.2006
|
[6]
|
S. N. Atluri1, Z. D. Hanl and A. M. Rajendran, “A New Implementation of the Meshless Finite Volume Method, through the MLPG ‘Mixed” Approach’,” Tech Science Press CMES, Vol. 6, No. 6, 2004, pp. 491-513.
|
[7]
|
J. Sladek, V. Sladek and C. Zhang, “Application of Meshless Local Petrov-Galerkin (MLPG) Method to Elastodynamic Problems in Continuously Non-Homogeneous Solids,” Computer Modeling in Engineering & Sciences, Vol. 4, No. 6, 2003, pp. 637-648.
|
[8]
|
S. N. Atluri, J. Y. Cho and H. G. Kim, “Analysis of Thin Beams, Using the Meshless Local Petrov-Galerkin Method, with Generalized Moving Least Squares Interpolations,” Computational Mechanics, Vol. 24, No. 5, 1999, pp. 334-347. doi:10.1007/s004660050456
|
[9]
|
Y. T. Gu and G. R. Liu, “A Meshless Local PetrovGalerkin (MLPG) Formulation for Static and Free Vibration Analyses of Thin Plates,” Computer Modeling in Engineering & Sciences, Vol. 2, No. 4, 2001, pp. 463-476.
|
[10]
|
J. Sladek, V. Sladek, C. Zhang and M. Schanz, “Meshless Local Petrov-Galerkin Method for Continuously Non-Homogeneous Viscoelastic Solids,” Computational Mechanics, Vol. 37, No. 3, 2006, pp. 279-289.
doi:10.1007/s00466-005-0715-0
|
[11]
|
G. R. Liu and Y. T. Gu, “Meshless Local Petrov-Galerkin (MLPG) Method in Combination with Finite Element and Boundary Element Approaches,” Computational Mechanics, Vol. 26, No. 6, 2000, pp. 536-546.
doi:10.1007/s004660000203
|
[12]
|
S. N. Atluri and T. Zhu, “A New Meshless Local PetrovGalerkin (MLPG) Approachs in Computational Mechanics,” Computational Mechanics, Vol. 22, No. 2, 1998, pp. 117-127. doi:10.1007/s004660050346
|
[13]
|
T. Belytschko, Y. Krogauz, D. Organ, M. Fleming and P. Krysl, “Meshless Methods: An Overview and Recent Developments,” Computer Methods in Applied Mechanics and Engineering, Vol. 139, No. 1, 1996, pp. 3-47.
doi:10.1016/S0045-7825(96)01078-X
|
[14]
|
S. Drapier and R. Fortunée, “Méthodes Numériques d’Approximations et de Résolution en Mécaniques,” 2010.
|
[15]
|
S. P. Timoshenko and J. N. Goodier, “Theory of Elasticity,” 3rd Edition, McGraw Hill, New York, 1970.
|